7/15 Additive Inverse :
The additive inverse of 7/15 is -7/15.
This means that when we add 7/15 and -7/15, the result is zero:
7/15 + (-7/15) = 0
Additive Inverse of a Fraction
For fractions, the additive inverse is found by negating the numerator or denominator, but not both. In this case:
- Original fraction: 7/15
- Additive inverse: -7/15
To verify: 7/15 + (-7/15) = 0
Extended Mathematical Exploration of 7/15
Let's explore various mathematical operations and concepts related to 7/15 and its additive inverse -7/15.
Basic Operations and Properties
- Square of 7/15: 0.21777777777778
- Cube of 7/15: 0.10162962962963
- Square root of |7/15|: 0.68313005106397
- Reciprocal of 7/15: 2.1428571428571
- Double of 7/15: 0.93333333333333
- Half of 7/15: 0.23333333333333
- Absolute value of 7/15: 0.46666666666667
Trigonometric Functions
- Sine of 7/15: 0.449911880556
- Cosine of 7/15: 0.89307295319843
- Tangent of 7/15: 0.50377953888839
Exponential and Logarithmic Functions
- e^7/15: 1.5946697582283
- Natural log of 7/15: -0.7621400520469
Floor and Ceiling Functions
- Floor of 7/15: 0
- Ceiling of 7/15: 1
Interesting Properties and Relationships
- The sum of 7/15 and its additive inverse (-7/15) is always 0.
- The product of 7/15 and its additive inverse is: -49
- The average of 7/15 and its additive inverse is always 0.
- The distance between 7/15 and its additive inverse on a number line is: 14
Applications in Algebra
Consider the equation: x + 7/15 = 0
The solution to this equation is x = -7/15, which is the additive inverse of 7/15.
Graphical Representation
On a coordinate plane:
- The point (7/15, 0) is reflected across the y-axis to (-7/15, 0).
- The midpoint between these two points is always (0, 0).
Series Involving 7/15 and Its Additive Inverse
Consider the alternating series: 7/15 + (-7/15) + 7/15 + (-7/15) + ...
The sum of this series oscillates between 0 and 7/15, never converging unless 7/15 is 0.
In Number Theory
For integer values:
- If 7/15 is even, its additive inverse is also even.
- If 7/15 is odd, its additive inverse is also odd.
- The sum of the digits of 7/15 and its additive inverse may or may not be the same.
Interactive Additive Inverse Calculator
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